Let m(t) = Am Cos 2n fmt be the single-tone signal with fm = 1 kHz and amplitude Am. m(t) generates the FM signal: PEM (t) = Ac cos (27 fet + Kf | m(A)dX), (1) = Ac cos (27 fet +B sin 27 fmt), (2) where A. = v2 V, fe = 10 kHz, K; = 3.45 kHz/V is the frequency sensitivity parameter of the FM modulator and 3 is the modulation index: K Am 2n fm (3) (a) Determine values of the modulating signal amplitude Am required generate FM signals with B = 0.2, 1 and 5. (b) For each value of the modulation index 3, i.e., for B = 0.2, 1 and 5, determine the rms values of the spectral components of the FM signal FM(t) using Table (A.1) in the Appendix. Also determine the rms value of the FM signal PFM(t). (c) For each value of the modulation index 3, estimate the bandwidth of the FM signal PEM (t) using: i. Carson's rule; ii. 1% rule; iii. Universal curve corresponding to the 1-% rule.